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Heat Transfer Research

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ISSN Печать: 1064-2285

ISSN Онлайн: 2162-6561

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MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS

Том 48, Выпуск 13, 2017, pp. 1165-1178
DOI: 10.1615/HeatTransRes.2017018876
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Краткое описание

The fractional constitutive laws are introduced into the study of mixed convection heat transfer of viscoelastic fluid along an inclined plate. Nonlinear fractional boundary layer governing equations are formulated and solved by a finite difference algorithm combined with the shifted Grünwald–Letnikov formula. The results show that the inclination angle, Prandtl number, and the temperature fractional derivative parameter have remarkable impacts on both temperature and velocity fields, while the effect of the velocity fractional derivative parameter on temperature is ignorable. With decrease of the inclination angle and Prandtl number, the temperature profile rises and the thermal boundary layer becomes thicker significantly. The average Nusselt number increases remarkably with the augmentation of the temperature fractional derivative parameter. For larger velocity fractional derivative parameter, the intersections of velocity profiles demonstrate the strengthened viscoelasticity of the fluid. The average skin friction coefficient increases slowly first and then declines dramatically with the rise of the velocity fractional derivative parameter.

ЦИТИРОВАНО В
  1. Szymczyk Michał, Nowak Marcin, Sumelka Wojciech, Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model, Symmetry, 10, 7, 2018. Crossref

  2. Voyiadjis George Z., Sumelka Wojciech, Brain modelling in the framework of anisotropic hyperelasticity with time fractional damage evolution governed by the Caputo-Almeida fractional derivative, Journal of the Mechanical Behavior of Biomedical Materials, 89, 2019. Crossref

  3. Szajek Krzysztof, Sumelka Wojciech, Blaszczyk Tomasz, Bekus Krzysztof, On selected aspects of space-fractional continuum mechanics model approximation, International Journal of Mechanical Sciences, 167, 2020. Crossref

  4. Sumelka W., Łuczak B., Gajewski T., Voyiadjis G.Z., Modelling of AAA in the framework of time-fractional damage hyperelasticity, International Journal of Solids and Structures, 206, 2020. Crossref

  5. Chen Yandong, Xu Jun, Tai Yongpeng, Xu Xiaomei, Chen Ning, Critical damping design method of vibration isolation system with both fractional-order inerter and damper, Mechanics of Advanced Materials and Structures, 29, 9, 2022. Crossref

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